A C0 interior penalty method for a fourth‐order variational inequality of the second kind |
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Authors: | Thirupathi Gudi Kamana Porwal |
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Institution: | 1. Department of Mathematics, Indian Institute of Science, Bangalore 560012, India;2. Center for Computation and Technology, Louisiana State University, Baton Rouge 70803, Louisiana |
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Abstract: | In this article, we propose a C0 interior penalty method for the frictional plate contact problem and derive both a priori and a posteriori error estimates. We derive an abstract error estimate in the energy norm without additional regularity assumption on the exact solution. The a priori error estimate is of optimal order whenever the solution is regular. Further, we derive a reliable and efficient a posteriori error estimator. Numerical experiments are presented to illustrate the theoretical results. © 2015 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 32: 36–59, 2016 |
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Keywords: | finite element C0IP frictional contact problem variational inequalities adaptive fem |
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